Marina Bay Sands Responsible Gambling Policy
Introduction
At some baccarat tables, the player may make mid-state proposition bets, generally with the purpose of insuring a winning hand. I discuss such bets in general in my page on baccarat insurance. To avoid that page getting too long, this page focuses on those insurance bets at the Marina Bay Sands in Singapore.
As usual, when writing about baccarat, to avoid confusion, I use lower case when referring to players playing the game and upper case when referring to bets.
Player Win after Four Cards
The following table shows situations where players may bet on a Player win after four cards are dealt. Insurance bets win on a Player win, lose on a Banker win, and push on a Tie.
The Marina Bay Sands (abbreviation: MBS) is an integrated resort fronting Marina Bay within the Downtown Core district of Singapore.At its opening in 2010, it was billed as the world's most expensive standalone casino property at S$8 billion (US$6.88 billion), including the land cost. Sands Rewards LifeStyle is our loyalty programme that rewards you with Reward Dollars while you shop, dine, stay and explore Marina Bay Sands. Earn up to 10% instant Reward Dollars and redeem them at over 200 participating Sands Rewards outlets.
Player Win after Four Cards
| Player Total | Banker Total | Pays | Probability Player Win | Probability Banker Win | Probability Tie | Expected Value |
|---|---|---|---|---|---|---|
| 0 | 5 | 2 | 0.319950 | 0.638715 | 0.041335 | 0.001185 |
| 1 | 5 | 2 | 0.283814 | 0.674655 | 0.041531 | -0.107027 |
| 2 | 5 | 2 | 0.248356 | 0.650906 | 0.100738 | -0.154193 |
| 3 | 5 | 2 | 0.271182 | 0.628151 | 0.100667 | -0.085786 |
| 4 | 5 | 2 | 0.294993 | 0.604412 | 0.100595 | -0.014426 |
| 0 | 6 | 3 | 0.248749 | 0.721860 | 0.029391 | 0.024389 |
| 1 | 6 | 3 | 0.200798 | 0.710369 | 0.088833 | -0.107975 |
| 2 | 6 | 3 | 0.212631 | 0.698539 | 0.088830 | -0.060646 |
| 3 | 6 | 3 | 0.224458 | 0.687609 | 0.087932 | -0.014235 |
| 4 | 6 | 3 | 0.236160 | 0.675002 | 0.088838 | 0.033478 |
| 5 | 6 | 3 | 0.248909 | 0.662332 | 0.088759 | 0.084397 |
| 0 | 7 | 4 | 0.154340 | 0.769393 | 0.076268 | -0.152035 |
| 1 | 7 | 4 | 0.153216 | 0.769718 | 0.077066 | -0.156852 |
| 2 | 7 | 4 | 0.153224 | 0.769708 | 0.077068 | -0.156814 |
| 3 | 7 | 4 | 0.154128 | 0.768806 | 0.077066 | -0.152294 |
| 4 | 7 | 4 | 0.153211 | 0.769725 | 0.077065 | -0.156882 |
| 5 | 7 | 4 | 0.154124 | 0.768810 | 0.077066 | -0.152312 |
Banker Win after Four Cards
The following table shows situations where players may bet on a Banker win after four cards are dealt. Insurance bets win on a Banker win, lose on a Player win, and push on a Tie.
Banker Win after Four Cards
| Player Total | Banker Total | Pays | Probability Player Win | Probability Banker Win | Probability Tie | Expected Value |
|---|---|---|---|---|---|---|
| 5 | 4 | 2 | 0.597782 | 0.289715 | 0.112503 | -0.018352 |
| 6 | 0 | 2 | 0.692222 | 0.231515 | 0.076263 | -0.229191 |
| 6 | 1 | 2 | 0.692651 | 0.230281 | 0.077068 | -0.232089 |
| 6 | 2 | 2 | 0.692656 | 0.230281 | 0.077063 | -0.232094 |
| 6 | 3 | 2 | 0.693562 | 0.230272 | 0.076166 | -0.233019 |
| 6 | 4 | 3 | 0.692650 | 0.230277 | 0.077073 | -0.001817 |
| 6 | 5 | 3 | 0.691743 | 0.231193 | 0.077065 | 0.001835 |
| 7 | 0 | 3 | 0.769393 | 0.154340 | 0.076268 | -0.306374 |
| 7 | 1 | 3 | 0.769718 | 0.153216 | 0.077066 | -0.310068 |
| 7 | 2 | 3 | 0.769708 | 0.153224 | 0.077068 | -0.310037 |
| 7 | 3 | 3 | 0.768806 | 0.154128 | 0.077066 | -0.306422 |
| 7 | 4 | 4 | 0.769725 | 0.153211 | 0.077065 | -0.156882 |
| 7 | 5 | 4 | 0.768810 | 0.154124 | 0.077066 | -0.152312 |
Player Win after Five Cards
Marina Bay Sands Responsible Gambling Policy Violations
The following table shows situations where players may bet on a Player win after five cards are dealt. Insurance bets win on a Player win, lose on a Banker win, and push on a Tie.
Player Win after Five Cards
| Player Total | Banker Total | Pays | Probability Player Win | Probability Banker Win | Probability Tie | Expected Value |
|---|---|---|---|---|---|---|
| 1 | 1 | 6 | 0.077013 | 0.615304 | 0.307683 | -0.153227 |
| 1 | 2 | 7 | 0.077011 | 0.845973 | 0.077016 | -0.306895 |
| 1 | 3 | 7 | 0.076989 | 0.845742 | 0.077269 | -0.306818 |
| 1 | 4 | 7 | 0.076032 | 0.847902 | 0.076065 | -0.315676 |
| 1 | 5 | 7 | 0.075882 | 0.848080 | 0.076039 | -0.316907 |
| 1 | 6 | 7 | 0.076783 | 0.846428 | 0.076789 | -0.308945 |
| 2 | 3 | 4 | 0.154252 | 0.768763 | 0.076986 | -0.151755 |
| 2 | 4 | 4 | 0.153694 | 0.768986 | 0.077320 | -0.154208 |
| 2 | 5 | 4 | 0.152675 | 0.772494 | 0.074831 | -0.161793 |
| 2 | 6 | 4 | 0.153579 | 0.770093 | 0.076329 | -0.155778 |
| 3 | 4 | 1.5 | 0.231953 | 0.690731 | 0.077316 | -0.342802 |
Banker Win after Five Cards
The following table shows situations where players may bet on a Banker win after five cards are dealt. Except in situations where Player has a total of nine, insurance bets win on a Banker win, lose on a Player win, and push on a Tie. When the Player does have nine points, insurance bets on the Banker win on a tie and lose on a Player win.
Banker Win after Five Cards
| Player Total | Banker Total | Pays | Probability Player Win | Probability Banker Win | Probability Tie | Expected Value |
|---|---|---|---|---|---|---|
| 5 | 0 | 2 | 0.613890 | 0.309497 | 0.076613 | 0.005104 |
| 5 | 1 | 2 | 0.614788 | 0.308293 | 0.076919 | 0.001799 |
| 5 | 2 | 2 | 0.615134 | 0.307946 | 0.076920 | 0.000758 |
| 5 | 3 | 2 | 0.616392 | 0.306687 | 0.076921 | -0.003018 |
| 5 | 4 | 2 | 0.617492 | 0.305417 | 0.077090 | -0.006658 |
| 6 | 0 | 3 | 0.691042 | 0.232147 | 0.076811 | 0.005400 |
| 6 | 1 | 3 | 0.691983 | 0.231249 | 0.076768 | 0.001764 |
| 6 | 2 | 3 | 0.692490 | 0.230743 | 0.076767 | -0.000261 |
| 6 | 3 | 3 | 0.693904 | 0.230225 | 0.075870 | -0.003228 |
| 6 | 4 | 3 | 0.694015 | 0.229293 | 0.076692 | -0.006137 |
| 6 | 5 | 3 | 0.692008 | 0.230948 | 0.077044 | 0.000838 |
| 7 | 0 | 4 | 0.768423 | 0.154764 | 0.076812 | -0.149365 |
| 7 | 1 | 4 | 0.769115 | 0.153977 | 0.076908 | -0.153207 |
| 7 | 2 | 4 | 0.769616 | 0.153613 | 0.076771 | -0.155163 |
| 7 | 3 | 4 | 0.769562 | 0.153673 | 0.076766 | -0.154871 |
| 7 | 4 | 4 | 0.770610 | 0.152621 | 0.076769 | -0.160127 |
| 7 | 5 | 4 | 0.769077 | 0.153838 | 0.077085 | -0.153726 |
| 7 | 6 | 4 | 0.768408 | 0.154635 | 0.076956 | -0.149867 |
| 8 | 0 | 7 | 0.845811 | 0.077381 | 0.076809 | -0.304147 |
| 8 | 1 | 7 | 0.846393 | 0.076700 | 0.076907 | -0.309496 |
| 8 | 2 | 7 | 0.846178 | 0.076905 | 0.076918 | -0.307846 |
| 8 | 3 | 7 | 0.846655 | 0.076766 | 0.076579 | -0.309293 |
| 8 | 4 | 7 | 0.847738 | 0.076573 | 0.075688 | -0.311724 |
| 8 | 5 | 7 | 0.846555 | 0.076427 | 0.077018 | -0.311569 |
| 8 | 6 | 7 | 0.845958 | 0.077253 | 0.076789 | -0.305184 |
| 9 | 0 | 8 | 0.923190 | 0.000000 | 0.076810 | -0.308709 |
| 9 | 1 | 8 | 0.923094 | 0.000000 | 0.076906 | -0.307850 |
| 9 | 2 | 8 | 0.923090 | 0.000000 | 0.076910 | -0.307808 |
| 9 | 3 | 8 | 0.923153 | 0.000000 | 0.076847 | -0.308380 |
| 9 | 4 | 8 | 0.923583 | 0.000000 | 0.076417 | -0.312246 |
| 9 | 5 | 8 | 0.923586 | 0.000000 | 0.076414 | -0.312278 |
| 9 | 6 | 8 | 0.923200 | 0.000000 | 0.076800 | -0.308800 |
